Answer:
Domain? Do you by chance mean quadrant? If so it's the 3rd quadrant.
Step-by-step explanation:
In the future try to imagine quadrant 1 in the top right and then going counter-clockwise! It'll help!
The original object and its translation<span> have the same shape and size, and they face in the same direction. A </span>translation<span>creates a figure that is congruent with the original figure and preserves distance (length) and orientation (lettering order). A </span>translation<span> is a direct isometry.</span>
Answer:
- First choice: <u><em>n² + n - 210 = 0</em></u>
Explanation:
1) If you use n to name the smaller number of two integer numbers, then the next consecutive number is n + 1.
2) The product of those two numbers is n × (n + 1) = n (n + 1).
3) Half of that product is n (n + 1) / 2.
And the question states that thas is equal to 105, so the equation becomes:
4) n (n + 1) / 2 = 105
Now you have to simplify that equation until you have an expression equal to one of the choices:
5) Simplification:
- Multiply both sides by 2: n (n + 1) = 210
- Distributive property on the left side: n² + n = 210
- Subtract 210 from both sides: n² + n - 210 = 0
And that is the first choice, so you have your answer.
Answer is 2 batches. Because she has five eggs and the plain pasta uses 2 so if she’s trying to do both of them she’ll only have two eggs left and using 8 cups of flour. Making two batches of spinach pasta.
17. y = -2/3x + 2
2/3x + y = 2
2x + 3y = 6 <==
18. y = 3x + 7....slope is 3. A parallel line will have the same slope.
y = mx + b
slope(m) = 3
(2,10)...x = 2 and y = 10
now sub and find b, the y int
10 = 3(2) + b
10 = 6 + b
10 - 6 = b
4 = b
so ur equation is : y = 3x + 4 <===
19. - 5x + 10y = 5
10y = 5x + 5
y = 1/2x + 1/2...slope is 1/2
y = -2x + 4....slope is -2
1/2 and -2 are negative reciprocals of each other....so ur lines are perpendicular
20. y = -1/4x + 8....slope is -1/4
-2x + 8y = 4
8y = 2x + 4
y = 1/4x + 1/2...slope here is 1/4
different slope and different y intercepts ...neither parallel or perpendicular
21. slope in the equation is 8/3. A perpendicular line will have a slope of -3/8.
y - y1 = m(x - x1)
slope(m) = -3/8
(-2,3)...x1 = -2 and y1 = 3
now we sub
y - 3 = -3/8(x - (-2) =
y - 3 = -3/8(x + 2) <==